On Gelfand pairs associated with nilpotent Lie groups

DOI10.1215/kjm/1250518884zbMath0842.22010OpenAlexW1498366977WikidataQ115240420 ScholiaQ115240420MaRDI QIDQ1894180

Katsuhiko Kikuchi

Publication date: 4 August 1996

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518884

zbMATH Keywords

Heisenberg groupLie algebranilpotent Lie grouprepresentation theoryGelfand pair

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (2)

A geometric criterion for Gelfand pairs associated with nilpotent Lie groups ⋮ The orbit method and Gelfand pairs, associated with nilpotent Lie groups

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